Heterogeneous morphological granulometries

Pattern Recognition

Volumn 33, Issue 6, 2000, Pages 1047-1057

  Batman, Sinan ^a   Dougherty, Edward R ^b   Sand, Francis ^c  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b TEXAS A AND M UNIVERSITY   (United States)

^c FAIRLEIGH DICKINSON UNIVERSITY   (United States)

Author keywords

Granulometry; Mathematical morphology; Mixing theory; Pattern spectrum; Texture

Indexed keywords

COMPUTATIONAL METHODS; DIGITAL FILTERS; FUNCTIONS; MATHEMATICAL MORPHOLOGY; SPECTRUM ANALYSIS;

GRANULOMETRY; MIXING THEORY; PATTERN SPECTRUM; TEXTURE CLASSIFICATION;

PATTERN RECOGNITION;

EID: 0033907050     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-3203(99)00164-8     Document Type: Article

References (19)

1. Chen Y., Dougherty E.R. Optimal and adaptive reconstructive granulometric bandpass filters. Signal Process. 61:1997;65-81.
2. Dougherty E.R. Optimal binary morphological bandpass filters induced by granlometric spectral representation. Math. Imaging Vision. 7(2):1997;175-192.
3. Dougherty E.R., Cuciurean-Zapan C. Optimal reconstructive. τ -openings for disjoint and statistically modeled nondisjoint grains Signal Process. 56:1997;45-58.
4. Chen Y., Dougherty E.R. Adaptive reconstructive. τ -openings convergence and the steady-state distribution Electron. Imag. 5(3):1996;266-282.
5. Haralick R.M., Katz P.L., Dougherty E.R. Model-based morphology. the opening spectrum CVGIP: Graph. Models Image Process. 57:1995;1-12.
6. Maragos P. Pattern Spectrum and Multiscale Shape Representation. IEEE Trans. Pattern Anal. Mach. Intell. 11:1989;701-716.
7. Dougherty E.R., Newell J., Pelz J. Morphological texture-based maximum-likelihood pixel classification based on local granulometric moments. Pattern Recognition. 25(10):1992;1181-1198.
8. Chen Y., Dougherty E.R. Gray-scale morphological granulometric texture classification. Opt. Eng. 33(8):1994;2713-2722.
9. Chen Y., Dougherty E.R., Totterman S., Hornak J. Classification of trabecular structure in magnetic resonance images based on morphological granulometries. Magn. Resonance Med. 29(3):1993;358-370.
10. Sivakumar K., Goutsias J. Discrete morphological size distributions and densities. estimation techniques and applications Electron. Imaging. 6:1997;65-75.
11. Bhagvati C., Grivas D.A., Skolnick M.M. Morphological analysis of pavement surface condition. Dougherty E. Mathematical Morphology in Image Processing. 1993;Marcel Dekker, New York.
12. Baeg S., Batman S., Dougherty E.R., Kamat V., Kehtarnavaz N., Kim S., Popov A., Sivakumar K., Shah R. Unsupervised morphological granulometric texture segmentation of digital mammograms. Electron. Imaging. 8(1):1999;31-53.
13. Matheron G. Random Sets and Integral Geometry. 1975;John Wiley, New York.
14. Batman S., Dougherty E.R. Size distributions for multivariate morphological granulometries. texture classification and statistical properties Opt. Eng. 36(5):1997;1518-1529.
15. Sand F., Dougherty E.R. Asymptotic normality of the morphological pattern-spectrum moments and orthogonal granulometric generators. Visual Commun. Image Representation. 3(2):1992;203-214.
16. Dougherty E.R., Sand F. Representation of linear granulometric moments for deterministic and random binary euclidean images. Visual Commun. Image Representation. 6(1):1995;69-79.
17. Sand F., Dougherty E.R. Asymptotic granulometric mixing theorem. morphological estimation of sizing parameters and mixture proportions Pattern Recognition. 31(1):1998;53-61.
18. Cramer H. Mathematical Methods of Statistics. 1946;Princeton Univ. Press, Princeton.
19. Sand F., Dougherty E.R. Robustness of granulometric moments. Pattern Recognition. 32(9):1999;1659-1665.